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Finding the Fourth Proportional to 142,011.89, 195,977.04 and 78,351.56

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Solution

The fourth proportional to 142,011.89, 195,977.04 and 78,351.56 is: 108,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,011.89 : 195,977.04 = 78,351.56 : x
  2. Step 2: Convert to fraction form
    142,011.89/195,977.04 = 78,351.56/x
  3. Step 3: Cross multiply
    142,011.89x = 195,977.04 × 78,351.56
  4. Step 4: Simplify right side
    142,011.89x = 15,355,106,808.18
  5. Step 5: Solve for x
    x = 15,355,106,808.18/142,011.89
  6. Step 6: Final answer
    x = 108,125.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.